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Article Dans Une Revue Journal of Number Theory Année : 2012

Arithmetic properties of q-Barnes polynomials

Résumé

By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obtained recently by Gaboury and Bayad , in this paper we present some series representations for these polynomials at rational arguments. These results provide extensions of those obtained by Apostol (1951) and by Srivastava (2000).

Dates et versions

hal-04464098 , version 1 (18-02-2024)

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Abdelmejid Bayad, Abdelaziz Raouj. Arithmetic properties of q-Barnes polynomials. Journal of Number Theory, 2012, 132 (8), pp.1645-1652. ⟨10.1016/j.jnt.2012.01.014⟩. ⟨hal-04464098⟩
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